Throughout the paper, we assume that the delay free system (REF ) is asymptotically stable. It is known [1]}, [2]} that there exists a positive definite and twice continuously differentiable Lyapunov function \(V(\textup {x}),\)  which is homogeneous of degree \(\gamma \ge 2\)  and satisfies together with its derivatives the following inequalities
\(\left(\frac{\partial V(\textup {x})}{\partial \textup {x}}\right)^T f(\textup {x},\textup {x})\le -\mathrm {w}\Vert \textup {x}\Vert ^{\gamma +\mu -1}, \quad \mathrm {w}>0,\\\alpha _0\Vert \textup {x}\Vert ^\gamma \le V(\textup {x})\le \alpha _1\Vert \textup {x}\Vert ^\gamma ,\\\left\Vert \frac{\partial V(\textup {x})}{\partial \textup {x}}\right\Vert \le \beta \Vert \textup {x}\Vert ^{\gamma -1},\ \ \left\Vert \frac{\partial ^2 V(\textup {x})}{\partial \textup {x}^2}\right\Vert \le \psi \Vert \textup {x}\Vert ^{\gamma -2},\) 
